Communications in Mathematical Sciences

Volume 6 (2008)

Number 3

Global classical solutions of the Vlasov-Darwin system for small initial data

Pages: 749 – 764



Martin Seehafer


A global-in-time existence theorem for classical solutions of the Vlasov-Darwin sys- tem is given under the assumption of smallness of the initial data. Furthermore it is shown that in case of spherical symmetry the system degenerates to the relativistic Vlasov-Poisson system.


Relativistic Vlasov-Darwin system, global classical solutions, collisionless plasma

2010 Mathematics Subject Classification

35F20, 82D10

Published 1 January 2008